SOLVING THE FUZZY ANTAGONISTIC 2 × 2-GAME

Authors

  • V. V. Romanuk

DOI:

https://doi.org/10.15588/1607-3274-2011-1-13

Keywords:

modeling within uncertainty, decision making within uncertainty, fuzzy 2 × 2-game, noncooperative metagame, optimal behavior.

Abstract

There has been represented a concept of solving the antagonistic 2 × 2-game, whose matrix elements are defined in the form of non-one-element sets. It has been revealed that the solution of such fuzzy game may be a special intersection of solutions of all ordinary 2 × 2-games, whose matrices elements constitute those sets. For cases when such intersection appears to be empty, it is suggested to use a fuzzy solution of a fuzzy 2 × 2- game. If this solution is unacceptable, a noncooperative metagame is constructed, the solution of which will contain the optimal behavior of both players in the initial fuzzy 2 × 2-game.

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Published

2011-08-12

How to Cite

Romanuk, V. V. (2011). SOLVING THE FUZZY ANTAGONISTIC 2 × 2-GAME. Radio Electronics, Computer Science, Control, (1). https://doi.org/10.15588/1607-3274-2011-1-13

Issue

No. 1 (2011): Radio Electronics, Computer Science, Control

Section

Mathematical and computer modelling

License

Copyright (c) 2014 V. V. Romanuk

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